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Finding the Fourth Proportional to 309.15, 461.46 and 272.70

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Solution

The fourth proportional to 309.15, 461.46 and 272.70 is: 407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.15 : 461.46 = 272.70 : x
  2. Step 2: Convert to fraction form
    309.15/461.46 = 272.70/x
  3. Step 3: Cross multiply
    309.15x = 461.46 × 272.70
  4. Step 4: Simplify right side
    309.15x = 125,840.14
  5. Step 5: Solve for x
    x = 125,840.14/309.15
  6. Step 6: Final answer
    x = 407.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.